Final answer:
To subtract the rational expressions, find a common denominator, multiply and combine terms, simplify if possible, and write the answer in factored form.
Step-by-step explanation:
To subtract the given rational expressions, we need to find a common denominator. In this case, the common denominator is (6x+11)(x+3)(3x+10).
Next, we need to multiply the numerator of each expression by the denominator of the other expression, keeping in mind that when we multiply, we need to distribute the products if there are any terms or expressions.
After multiplying, we can combine like terms and simplify if possible.
Finally, we can write the answer in its factored form by factoring the denominator.
Therefore, the difference of the given rational expressions is (9(3x+10) - 3x(6x+11))/((6x+11)(x+3)(3x+10)).